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JEE Main & Advanced Mathematics Differentiation Question Bank Numerical Value Type Questions - Limit

  • question_answer
    Let\[f(n)=\underset{x\to 0}{\mathop{\lim }}\,{{\left( \left( 1+\sin \frac{x}{2} \right)\left( 1+\sin \frac{x}{{{2}^{2}}} \right)...\left( 1+\sin \frac{x}{{{2}^{n}}} \right) \right)}^{1/x}}\]. If \[=\underset{n\to \infty }{\mathop{\lim }}\,f\left( n \right)=\frac{3e}{k}\]then find k.

    Answer:

    3.00


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